A soft drink maker claims that a majority of adults prefer its leading beverage over that of its main competitor's. To test this claim, 500 randomly selected people were given the two beverage in random order to taste. Among them, 270 preferred the soft drink maker's brand, 211 preferred the competitor's brand, and 19 could not make up their minds. It is desired to determine whether there is sufficient evidence, at the 0.05 level of significance, to support the soft drink maker's claim against the default that the population is evenly split in its preference. The following hypotheses are considered. Ho: p 0.50 versus H1 p> 0.50, where p denotes the proportion of all adults who prefer the company's beverage over that of it's competitor's beverage.
A soft drink maker claims that a majority of adults prefer its leading beverage over that of its main competitor's. To test this claim, 500 randomly selected people were given the two beverage in random order to taste. Among them, 270 preferred the soft drink maker's brand, 211 preferred the competitor's brand, and 19 could not make up their minds. It is desired to determine whether there is sufficient evidence, at the 0.05 level of significance, to support the soft drink maker's claim against the default that the population is evenly split in its preference. The following hypotheses are considered. Ho: p 0.50 versus H1 p> 0.50, where p denotes the proportion of all adults who prefer the company's beverage over that of it's competitor's beverage.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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![A soft drink maker claims that a majority of adults prefer its leading beverage over that
of its main competitor's.
To test this claim, 500 randomly selected people were given the two beverage in
random order to taste.
Among them, 270 preferred the soft drink maker's brand, 211 preferred the
competitor's brand, and 19 could not make up their minds.
It is desired to determine whether there is sufficient evidence, at the 0.05 level of
significance, to support the soft drink maker's claim against the default that the
population is evenly split in its preference.
The following hypotheses are considered.
Ho : p 0.50 versus H1 : p > 0.50,
where p denotes the proportion of all adults who prefer the company's beverage over
that of it's competitor's beverage.
The sample proportion, p, equals: Select]
The value of the test statistic equals: Select]
The result of the test can be stated as follows: 1 Select ]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc5d54d8f-2ddd-4099-b405-f5ede043aab9%2F06e536c2-d705-4e7c-a894-b364321fdcf0%2Fv6vtg08_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A soft drink maker claims that a majority of adults prefer its leading beverage over that
of its main competitor's.
To test this claim, 500 randomly selected people were given the two beverage in
random order to taste.
Among them, 270 preferred the soft drink maker's brand, 211 preferred the
competitor's brand, and 19 could not make up their minds.
It is desired to determine whether there is sufficient evidence, at the 0.05 level of
significance, to support the soft drink maker's claim against the default that the
population is evenly split in its preference.
The following hypotheses are considered.
Ho : p 0.50 versus H1 : p > 0.50,
where p denotes the proportion of all adults who prefer the company's beverage over
that of it's competitor's beverage.
The sample proportion, p, equals: Select]
The value of the test statistic equals: Select]
The result of the test can be stated as follows: 1 Select ]
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